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Weakly nonergodic dynamics in the Gross--Pitaevskii lattice
Mithun Thudiyangal, Yagmur Kati, Carlo Danieli +1
The microcanonical Gross--Pitaevskii (aka semiclassical Bose-Hubbard) lattice model dynamics is characterized by a pair of energy and norm densities. The grand canonical Gibbs dist…
Anderson localization in generalized discrete time quantum walks
I. Vakulchyk, M. V. Fistul, P. Qin +1
We study Anderson localization in a generalized discrete time quantum walk - a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix wh…
Topological flat Wannier-Stark bands
Andrey R. Kolovsky, Ajith Ramachandran, Sergej Flach
We analyze the spectrum and eigenstates of a quantum particle in a bipartite two-dimensional tight-binding dice network with short range hopping under the action of a dc bias. We f…
Chiral Flat Bands: Existence, Engineering and Stability
Ajith Ramachandran, Alexei Andreanov, Sergej Flach
We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized…
Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using -Statistics
Chris G. Antonopoulos, Charalampos Skokos, Tassos Bountis +1
In the study of subdiffusive wave-packet spreading in disordered Klein-Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite…
Flat bands in lattices with non-Hermitian coupling
Daniel Leykam, Sergej Flach, Y. D. Chong
We study non-Hermitian photonic lattices that exhibit competition between conservative and non-Hermitian (gain/loss) couplings. A bipartite sublattice symmetry enforces the existen…